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A088048 Let S(k) be the set of absolute differences of pairs of primes <= k. a(n) is the least k such that S(k) contains all residues mod prime(n). +0
2
5, 5, 7, 17, 23, 29, 37, 41, 53, 59, 67, 79, 83, 89, 97, 109, 131, 127, 137, 149, 151, 163, 173, 181, 197, 211, 211, 223, 233, 233, 271, 269, 277, 281, 311, 311, 317, 353, 337, 349, 359, 367, 389, 389, 397, 401, 433, 449, 457, 461, 479, 479, 487, 509, 521, 557 (list; graph; listen)
OFFSET

1,1

COMMENT

Needs better description.

EXAMPLE

a(3) = 7, 7-2==0 (mod 5), 3-2 ==1 (mod 5), 5-3 ==2 (mod 5), 5-2 ==3 (mod 5),

7-3 == 4 (mod 5).

a(5) = 23 and we have 13-2 == 0 (mod 11), 3-2=1, 5-3=2, 5-2=3, 7-3=4, 7-2 =5, 11-5 = 6, 23-5 == 7 (mod 11), 13-5 = 8, 11-2 = 9, 13-3 = 10.

CROSSREFS

Cf. A088046, A088047, A109257.

Sequence in context: A141392 A088047 A109257 this_sequence A006146 A077956 A077977

Adjacent sequences: A088045 A088046 A088047 this_sequence A088049 A088050 A088051

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 20 2003

EXTENSIONS

More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jun 23 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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